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[Music]
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[Music]
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next
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we are going to talk about energy
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why is energy important well does the
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vehicle have enough energy
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to let the drive take place is like fuel
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energy is like fuel does it have enough
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fuel
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does it store enough fuel
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it will give you the range that to which
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you can travel
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and that becomes an important role and
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we will talk about energy required
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another thing that we will come across
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throughout the course
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ok with all this known talk power
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speed force
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and energy you have to now design motor
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controller
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and batteries at what
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voltage should you design all this
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you will see that depending on the
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voltages
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ah your currents will become very
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different if you have high voltage
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your current will go down to give a
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certain power
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um after all battery will give you sun
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power so if you suppose you want a power
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p
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if you wanted a voltage v then the
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current is
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that power divided by voltage if i want
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a
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lower voltage my current will go up
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if i want higher voltage my current will
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go smaller
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normally i prefer lower current
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why because
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current i have to carry in conductors
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and when i carry current in the
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conductor there is a
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heat dissipation there is i square r
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loss
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now one would say well i square r loss
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should be small
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depends on what the current is
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we will see the currents in some of
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these vehicles can become 100 ampere
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200 ampere 300 ampere
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i square can become very large
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i therefore do not like this 200 300
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ampere
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if i use higher voltage my current may
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be more like
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30 ampere 50 ampere 70 ampere 80 ampere
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much less much easier manageable
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of course high voltage has another thing
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lower voltage is safer
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high voltage is less safe it will
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require a complete isolation of
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all the electrical components with the
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rest of the vehicles
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finally we will have to see where
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should we pay the cost of isolation
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and reduce the currents and where
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i do not want to get into this isolation
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let me use low voltage
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let current go up a little bit so this
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voltage will be
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become very important a related
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thing will be so if i know my peak power
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requirement what is the current that i
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will draw
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what is the average current that i will
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draw what is the peak power current that
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will do
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currents are plays a important role not
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just in terms of heat loss and
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conductors but a battery also
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is normally designed to give you only so
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much current
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if you try to draw higher currents from
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the battery
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the life of the battery gets impacted
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we will study that in detail later on in
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a battery
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chapter
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ok so this is another thing that we have
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to start
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discussing and then get into details
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later on
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and the fourth thing that we will
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discuss start discussing
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what are the losses in each subsystem so
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far we assumed everything is perfect
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not so motor never runs at 100
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efficiency
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you are given a certain amount of power
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certain amount of energy certain amount
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of power
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part of that power is going to get lost
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into heat it has a double problem
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problem number one some power and
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therefore some energy is wasted
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so i will require more energy to drives
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the vehicle
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number two whatever
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losses are there
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heat is generated
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that heat is going to heat up the
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battery
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heat up the motor heat up the controller
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and heat is not good for either the
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battery
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or for the motor or for the controller
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you can allow a certain amount of heat
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after that you will have to do cooling
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you have to limit
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the heat so
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we have to worry about the losses one is
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the losses due to i square r
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but i square r is not the only losses
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in motor there are other losses
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and heat is generated so wherever heat
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is generated we have to worry
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motors consist of a lot of coils
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so there is going to be a lot of losses
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it is not just in simple conductors
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motor basically is a lossy
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there are other losses like iron losses
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you will see in
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motors so where you worry about this
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magnetic loss
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higher losses of magnetic loss
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so we will start looking at it
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as we go on we look at more and more
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all these four things in next section i
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am going to start with energy
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that it requires to travel some
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assignment problems
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for a two wheeler three wheeler and eric
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shaw
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we have shown how to compute traction
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power
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torque at different velocity given
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a certain wheel radius what would be the
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power and talk required
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we are basically asking you to learn to
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compute get some
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feel of numbers assuming that
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sedan is stuck on a climb at 12 degrees
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when it is stuck it has to start
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and during a start it will require a
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torque plus i will have to give a
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minimum acceleration
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for it to get moving i have taken the
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very small acceleration
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0.5 meter per second square so now
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what do i have to do for that vehicle
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at zero speed i have to worry about the
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torque then i have to
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worry about the acceleration and torque
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due to acceleration
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plus there is a drag force i have to
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worry about the drag
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ah um acceleration of course with a very
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zero low velocity so it will be nearly
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zero
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there will be some rolling resistance i
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have to worry about
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the force due to that and therefore
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torque due to that
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so how to combine all these torque and
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say what is the starting talk required
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before i start this new chapter there
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were two questions
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that were asked to me and let me try to
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answer
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the first question was asked is that
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when a vehicle is starting
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is mu going to change is there a
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something called static
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friction versus dynamic
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make friction mu is related to friction
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now there are two ways of dealing with
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it you can either have a different value
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of mu
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mu due to during movement and mu due to
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starting
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thats one way of dealing with it
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very often that is not what is done what
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is
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in the vehicle computation what you
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assume mu is same
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but you require certain extra
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acceleration minimal acceleration will
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require
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so compute the torque required due to
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acceleration
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plus torque required due to the drag
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mu and that is the dynamic that is
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during the starting static
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so in fact in this problem that i talked
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about
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in here i have not done it
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i have done starting but i have to say
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there is a slope
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very large slope 12 degrees
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but i also said include a certain
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acceleration
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it is at zero speed but include
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acceleration
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so take the acceleration of 0.5 meter
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per second square you can convert
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that into ah kilometer
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whatever any other units now can
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compute the torque due to this plus
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compute the torque due to
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slope that is basically a starting
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torque which would have otherwise also
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say mu has changed but we in
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electric vehicle or even for ic engine
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vehicle
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normally mu is assumed to be constant of
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course there is a small function of
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velocity
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at high velocity it matters a lot
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starting
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starting torque is the same as
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moving torque plus acceleration
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required without acceleration fine you
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cannot move
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when you are zero speed you have to get
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to
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some kilometer per hour that is starting
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acceleration starting acceleration
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is another term used for the change in
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value of mu
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so that is a question number one which i
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think this
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problem when you do you will get an idea
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will give you more
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assignment problem note down on
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something like this there was a second
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question that
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was asked and the second question was
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achilla yeah suppose you have a long
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slope
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in many hills the slope is constant and
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it continue for 2 kilometers
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is the energy requirement is the power
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requirement all that
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talk requirement what will happen we
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will actually
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deal with that to some extent in this
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chapter of concept of drive cycle
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but let me let me point out
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it is related to motor design and
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battery design
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you normally talk about in a motor
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the power that motor has certain power
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but it also has something called peak
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power
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a motor will be a 5 kilowatt but its
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peak
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power may be eight kilowatt
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the same motor it can drive at eight
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kilowatt it can drive at five kilowatt
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so what what is the motor kilowatt
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what is the peak implies actually
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as far as the mechanical part of the
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motor is concerned or
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even the electronic part of the motor is
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concerned it is the same
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a five kilowatt motor is eight kilowatt
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motor is actually designed for
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torque it is a heat dissipation
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for at five kilowatt the heat
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dissipation is small
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or whatever is the heat dissipation it
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is taken care of
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by the cooling system eight kilowatt
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the speed dissipation is going to be
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much higher
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now that much higher heat dissipation
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what do you do if it is fifteen twenty
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second
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that extra heat dissipation
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motor temperature will go up and fifteen
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twenty seconds will pass
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and now it will cool down so it will be
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all right
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if on the other hand you require a
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constant
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eight kilowatt then you require a very
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different kind of heat dissipation
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system which will
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take out this p the losses
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the heat dissipation at eight kilowatt
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so i will say a peak power
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is related to that if it is 15 20 second
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i can handle it
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the motor is actually designed for the
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nominal power
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or rated power you can say because heat
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dissipation is designed for rated power
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so that is what and we will this look at
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this
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later on the heat dissipation to some
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extent
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same thing about the torque peak torque
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and rated torque
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ready torque is you can keep on running
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with that torque and
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heat dissipation will be something that
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you will have to keep on
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removing such that the temperature does
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not go up
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if you go to peak torque you will have
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extra heat
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generated which is all right for a very
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short period of time
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but its not all right if you reply it
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cons constantly now look at
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what does it mean in terms of driving of
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a vehicle
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if i am trying to overtake somebody
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i need 15 20 second extra power and
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extra torque
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because i will i am moving behind i am
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behind
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i will actually move like this this
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vehicle and then move up 15
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20 25 second that's the time
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peak power and peak torque help normally
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i am not driving above
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the rated power so that is fine
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what about in slope and particularly the
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long slope question that was asked
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in a long slope i may actually drive
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that at that slope
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for five minutes
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maybe even longer because i can reduce
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my speed and all those kind of things
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for power
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but for my torque speed does not matter
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so that cannot be done using peak torque
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or peak power
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it has to be done at rated torque and
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rated power so
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you have to look at the motors rated
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power
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and rated torque and you can
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continuously climb the
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slope at the rated torque rated power
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but if you are using the peak torque and
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peak power to try
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to go up then it can be only for a short
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period of time
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all right what about energy required
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which will be dealing in this chapter
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energy required will go up
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if it is a short period of time it will
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go up
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if it is a stage for a long period of
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time energy
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requirement will go up considerably
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because energy is
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integration of power over time
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so sure in a long slope energy
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requirement will go much higher
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but remember that we also talked about a
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concept of regeneration
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so if you are climbing for long
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you require certain amount of energy
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after that you are going to climb down
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to the same extent and if we
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had a regeneration efficiency my energy
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requirement
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will not make any difference
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but to the extent that i do not have 100
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percent regeneration
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efficiency i have to pay the penalty of
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extra energy
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if i am only recovering let us say 30
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percent of the energy during
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going down so 70 percent of that has to
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be
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spent
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all that issue of how much energy will
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be spent
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is exactly this concept of a drive cycle
00:17:10
and what is a drive cycle
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the question that we are asking in this
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how much energy will vehicle
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take per kilometer
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how much energy will the vehicle take
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during certain drive
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per kilometer energy per kilometer is
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very important
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it is like your fuel efficiency
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amount of petrol consumed per kilometer
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or
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amount of kilometer for one liter of
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petrol
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the kitna it's the same thing
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energy efficiency is defined in terms of
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water per kilometer
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that depends on the vehicle design but
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it does not depend only on the vehicle
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design
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it also depends on how is the vehicle
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travels
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when you do the measurement what is the
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speed at which it travels
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remember that when it travels at higher
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speed you require larger power
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which means larger energy is consumed
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so you cannot talk about energy
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efficiency or water per kilometer at all
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speeds it will be different
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if a vehicle accelerates it consumes
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tremendous amount of power
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so it will depend on how much you
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accelerate
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how much time you are
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just idling not moving at all you are
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stopped on red light
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how well it decelerates
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when it decelerates it gives you back
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some power energy
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but only fracture of energy so at what
00:19:01
speed you travel
00:19:02
for how long then what is acceleration
00:19:05
for how long
00:19:06
from what velocity to what how much do
00:19:09
you decelerate
00:19:10
for how long how much are you idling all
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these things become an
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important component in the amount of
00:19:16
energy
00:19:18
consumed therefore how do you now talk
00:19:21
about water per kilometer
00:19:24
you can talk about watt hour per
00:19:27
kilometer
00:19:28
by defining what is called a drive
00:19:31
cycle this by the way is done in a
00:19:33
petrol engine is also going to be done
00:19:35
for electrical engineering
00:19:38
it is a standard a drive cycle a
00:19:41
standard drive cycle
00:19:43
a drive cycle says a definition of
00:19:46
how the vehicle is driven
00:19:50
try to standardize the driving pattern
00:19:54
vehicles are tested as per standard
00:19:57
drive cycle
00:19:58
the standard drive cycle will tell you
00:20:01
how long did you travel at what speed
00:20:04
you traveled for how long
00:20:06
at how much did you accelerate how much
00:20:08
did you decelerate
00:20:10
did you wait idle it will define this
00:20:15
and for a class of vehicle it will
00:20:18
standardize it
00:20:19
and that is called a standard drive
00:20:21
cycle a standard drive cycle for a two
00:20:23
wheeler
00:20:24
a standard drive cycle for a three
00:20:25
wheeler a standard drive cycle for a
00:20:28
four wheeler
00:20:30
what is the purpose of this well
00:20:34
a dry cycle will help you compare
00:20:37
if you have made a vehicle you have made
00:20:39
a vehicle similar
00:20:41
to wheelers and i can compare what is
00:20:43
the energy efficiency of yours
00:20:45
we service data phase
00:20:51
so i will take example
00:20:54
a sedan which is driven at a constant
00:20:58
speed
00:21:00
of 50 kilometer per hour and let's
00:21:03
assume
00:21:04
this is the vehicle this is the vehicle
00:21:07
the vehicle
00:21:08
sedan it is in page number slide number
00:21:11
29 here not 28 because i probably added
00:21:14
a slide here
00:21:15
um
00:21:18
area is 2.5 square meter drag is 0.35
00:21:23
weight is 1200 kg and suppose it is
00:21:26
driven at a constant speed of 50
00:21:29
kilometer per hour
00:21:30
for 5 minutes
00:21:34
compute the distance travel
00:21:37
in energy used
00:21:40
so if i compute the distant travel
00:21:42
energy used which i will do out here
00:21:45
the drag is what 150 newton meter
00:21:50
that's what comes at 50 kilometer per
00:21:53
hour
00:21:54
50 kilometer per hour
00:21:57
drag comes to 50
00:22:02
150 newtons 150 newtons
00:22:05
rolling resistance is higher 190 newtons
00:22:08
at 50 kilometer
00:22:09
and if i am driving at a constant speed
00:22:11
and let us assume no slope
00:22:13
only the drag and the rolling resistance
00:22:16
has to be taken into account
00:22:18
so the total force that i have is 340
00:22:20
newtons
00:22:22
power consumed is due therefore 340
00:22:24
newtons
00:22:25
multiplied by the velocity velocity is
00:22:28
50 kilometer per hour after
00:22:30
convert it into ah meters per second by
00:22:33
dividing by 3.6
00:22:35
and actually i am consuming 4.72
00:22:39
kilowatt to overcome this 4.72 kilowatt
00:22:46
i am consuming throughout
00:22:49
for five minutes i am consuming five
00:22:51
force point seven two kilo
00:22:53
watt what is the energy that i am
00:22:56
consuming
00:22:56
4.7 kilo 2 kilowatt for 300 second
00:23:01
huh this was the veloci the velocity
00:23:05
300 second but i want to
00:23:08
um 300 second
00:23:13
divided by sorry 5 minutes 500 minutes
00:23:17
is 300 second but actually
00:23:21
why do i divide by three point thirty
00:23:23
six hundred
00:23:24
uh converting into hour
00:23:28
huh because i want to actually con write
00:23:31
down
00:23:32
not in terms of what second but what
00:23:34
hour
00:23:35
and if i do this calculation i get
00:23:39
393 watt hour
00:23:41
so every i am consuming 393
00:23:45
watt or if i continue to drive this for
00:23:47
one hour it will be
00:23:49
393 watts
00:23:54
what hour if i consume continue to well
00:23:57
for 5 minutes i am consuming
00:23:59
393 watt hour if i continue to drive for
00:24:02
60 minutes i will consume 12 times this
00:24:06
what is the distance traveled well 50
00:24:09
kilometer divided by
00:24:10
3.6 per meter per second into
00:24:14
300 seconds that gives me so many meters
00:24:18
of 4.16 kilometers
00:24:21
so what is the energy used per kilometer
00:24:26
so i am consuming 393 watt hour for 4.6
00:24:30
k
00:24:31
ah kilometer so per kilometer i am
00:24:34
consuming
00:24:34
94 water per kilometer
00:24:38
so if i am taking a ideal vehicle
00:24:42
and just overcome drag and rolling
00:24:44
resistance at 50 kilometer per hour
00:24:48
i will consume 94 watt hour
00:24:51
per kilometer
00:24:55
now is this the energy efficiency of the
00:24:56
vehicle
00:24:58
no this is assuming i am travelling
00:25:00
constant speed at 50 kilo
00:25:02
meter per hour but what if i accelerate
00:25:05
or decelerate what if my velocity goes
00:25:07
to 30 kilometer
00:25:08
and then 70 kilometer i will consume
00:25:11
different
00:25:12
water per kilometer
00:25:16
so this is a water per kilometer for
00:25:19
that drive
00:25:22
for a standard drive it will be
00:25:24
something else
00:25:25
and therefore i have to define standard
00:25:28
drive
00:25:29
i am giving a assignment problem
00:25:32
where i change the drive i have taken
00:25:34
the same
00:25:35
sedan this time first i am accelerating
00:25:40
from 0 to 50 kilometer per hour in 20
00:25:43
seconds
00:25:45
now when i am is accelerating at 0 to 50
00:25:50
50 kilometer per hour in 20 second i can
00:25:53
actually compute
00:25:54
the power requirement due to
00:25:56
acceleration and that is coming
00:25:59
close to 6000 watts
00:26:03
for 20 seconds then it travels for 50
00:26:07
kilometer per hour
00:26:08
for 5 minutes then it decelerates
00:26:12
to twenty second
00:26:16
and i say compute the energy required
00:26:19
assuming
00:26:21
r equal to one r equal to 1
00:26:24
100 regeneration what will be the energy
00:26:27
required
00:26:30
can someone tell me
00:26:34
it is exactly the same 393
00:26:39
watt hour
00:26:43
why whatever energy i spent during
00:26:48
climbing during accelerating i am
00:26:51
recovering that
00:26:52
during deceleration
00:26:56
because r is 1 but in reality r is not 1
00:26:59
let us take r equal to 0.3 now i have to
00:27:02
actually compute the energy required
00:27:04
may required during acceleration i have
00:27:07
to add the acceleration force
00:27:10
plus the drag force
00:27:14
plus the
00:27:18
rolling resistance force compute the
00:27:21
power required for all these three
00:27:23
i have to add the power that's the power
00:27:25
that i will be requiring for
00:27:26
accelerating
00:27:28
figure out how much time will i require
00:27:30
to get to
00:27:31
20 second in double in 20 seconds i am
00:27:34
going to get it
00:27:35
and i compute the energy and then i also
00:27:39
compute the
00:27:40
kilometer travel well the previous
00:27:42
kilometer
00:27:43
traveled what i had was assumed earlier
00:27:47
the 4.16 kilometer was on the when i was
00:27:50
traveling at 50 kilometer
00:27:51
but during acceleration also i will be
00:27:53
traveling some some distance
00:27:55
so i compute that and then divide it i
00:27:58
will get water per kilometer
00:28:02
i take a second problem again assignment
00:28:04
problem
00:28:06
this time i am travelling starting from
00:28:08
0 to 25 kilometer for 15 seconds
00:28:11
travel at 25 kilometer hour for two
00:28:13
minutes
00:28:15
and then i speed from 25 kilometer per
00:28:17
hour to 50 kilometer per hour
00:28:19
in another 15 seconds travel for four
00:28:23
minutes
00:28:24
at 50 kilo per hour and then decelerate
00:28:27
to
00:28:27
0 kilometer per hour and 20 kilo seconds
00:28:31
compute the energy requirement
00:28:36
so method is same compute also the
00:28:39
distance traveled compute what is water
00:28:43
per kilometer these
00:28:46
problems are somewhat
00:28:50
not very difficult problem will get you
00:28:53
used to
00:28:54
a concept of a drives what is pointed
00:28:57
out is very little
00:28:58
correct we have assumed
00:29:01
he body is assumed that only the
00:29:04
acceleration force is reversed
00:29:07
the drag and rolling resistance is not
00:29:10
reversed
00:29:12
so ideally only for the acceleration
00:29:14
force or the gradient force
00:29:16
you should apply r
00:29:20
but you know acceleration force and
00:29:23
gradient force are so much more
00:29:26
than the
00:29:29
rolling resistance and drag drag
00:29:33
that all that is taking into account in
00:29:36
r itself
00:29:37
the regeneration efficiency a and
00:29:41
you do not separate them you just
00:29:44
compute that
00:29:45
and just assume the regeneration
00:29:46
efficiency if it was only for
00:29:48
acceleration deceleration
00:29:49
may have been 0.35 due to combined it is
00:29:52
only 0.3 so
00:29:54
you just assume that and in reality in
00:29:57
computation
00:29:58
r is assumed for all all the energy
00:30:03
we are assuming that during climbing up
00:30:06
and climbing down
00:30:07
net and energy consumed is zero
00:30:11
so not exactly correct with r equal to
00:30:14
one
00:30:15
but if you want you can do this detailed
00:30:17
calculation
00:30:18
but that gets into a little bit of
00:30:21
trouble we just assume that is
00:30:23
same for our first course we will assume
00:30:27
it is same
00:30:28
it is a combined and will not separate
00:30:30
out
00:30:31
otherwise things will get complicated
00:30:35
ok i mean it is just like that is the
00:30:37
road always same
00:30:39
is the rolling resistance always same it
00:30:41
is not
00:30:42
it will vary we do not take that into
00:30:45
account
00:30:49
so we have somewhat simplified
00:30:54
in reality you will get slightly worse
00:30:55
result
00:30:57
and you will say regeneration efficiency
00:30:59
is lower
00:31:00
that's fine okay
00:31:04
[Music]